Graphing Polynomial Functions Additional Review

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What is the end behavior of a polynomial function as x approaches infinity?

Back

The end behavior of a polynomial function as x approaches infinity depends on the degree and leading coefficient of the polynomial. If the leading coefficient is positive and the degree is even, then as x → ∞, f(x) → ∞. If the leading coefficient is negative and the degree is even, then as x → ∞, f(x) → -∞.

Front

What is the end behavior of a polynomial function as x approaches negative infinity?

Back

The end behavior of a polynomial function as x approaches negative infinity also depends on the degree and leading coefficient. If the leading coefficient is positive and the degree is even, then as x → -∞, f(x) → ∞. If the leading coefficient is negative and the degree is even, then as x → -∞, f(x) → -∞.

Front

What cannot be determined by the factors of a polynomial in factored form?

Back

The y-intercept cannot be determined by the factors of a polynomial in factored form.

Front

Which polynomial degree indicates that the graph will have the same end behavior on both sides?

Back

An even degree polynomial indicates that the graph will have the same end behavior on both sides.

Front

What does a positive leading coefficient indicate about the end behavior of a polynomial function?

Back

A positive leading coefficient indicates that as x approaches infinity, the function will also approach infinity.

Front

What does a negative leading coefficient indicate about the end behavior of a polynomial function?

Back

A negative leading coefficient indicates that as x approaches infinity, the function will approach negative infinity.

Front

How can you determine the x-intercepts of a polynomial function from its factored form?

Back

The x-intercepts can be determined by setting each factor equal to zero and solving for x.

Front

Back

Front

What type of polynomial is represented by a graph that opens upwards and has a positive leading coefficient?

Back

The polynomial is an even degree polynomial with a positive leading coefficient.

Front

What is the significance of the y-intercept in a polynomial function?

Back

The y-intercept is the value of the function when x = 0, indicating where the graph crosses the y-axis.